The square root of 6 is expressed as √6 in the radical form and as (6)½ or (6)0.5 in the exponent form. The square root of 6 rounded up to 7 decimal places is 2.4494897. It is the positive solution of the equation x2 = 6.
Hence, the square root of 6 in simplest form is 2.449. Similarly, we can also calculate the square root of any other whole numbers and their factors.
The number 6 is not a perfect square. Therefore, \(\sqrt{6}\) will result in an irrational number.
What is the Square Root of 64? The square root of 64 is 8, i.e. √64 = 8.
The value of root 4 is equal to exactly 2. But the roots could be positive or negative or we can say there are always two roots for any given number. Hence, root 4 is equal to ±2 or +2 and -2 (positive 2 and negative 2).
Here, the given number √4 is equal to 2; the number 2 is a whole number and whole numbers are always rational. Also, it can be expressed in fraction form as 2 ⁄ 1 which means it is a rational number. Hence, √4 is not an irrational number.
Look at the multiplication shown below when 1 is multiplied by 1 we get a new number as 1, 1 is a square root of 1, or square of 1 is also 1. This is an exceptional case of a square root of 1.
Thus, the value obtained for the root of 6 satisfies the condition of being a non-terminating and non-repeating decimal number that keeps extending further after the decimal point which makes √6 an irrational number. Hence, √6 is an irrational number.
Expert-Verified Answer
is irrational. Hope it helps you.
Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
Root 2 is an irrational number as it cannot be expressed as a fraction and has an infinite number of decimals. So, the exact value of the root of 2 cannot be determined.
Zero, known as a neutral integer because it is neither negative nor positive, is a whole number and, thus, zero is an integer.
Answer: 0 is a rational number, whole number, integer, and a real number.
The number 0 is present in rational numbers. The number 0 is not an irrational number.